Reliability Analysis by Combining Higher-Order Unscented Transformation and Fourth-Moment Method
Publication: ASCE-ASME Journal of Risk and Uncertainty in Engineering Systems, Part A: Civil Engineering
Volume 4, Issue 1
Abstract
In this work, the fourth-moment method and the higher-order unscented transformation is combined to calculate the failure probability. The higher-order unscented transformation is used to efficiently estimate the first four moments of the limit-state function, and then the fourth-moment method is used to estimate the failure probability. Compared with the traditional first-order and second-order reliability methods, the proposed method is not required to find the design point, and it is also not required to calculate the derivatives. Compared with the three-point estimation method, the proposed method has a good accuracy and lower computational cost. The numerical and engineering examples show the accuracy and efficiency of the proposed method.
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Acknowledgments
This work was supported by the National Natural Science Foundation of China (Grant No. NSFC 51475370) and the fundamental research funds for the central university (Grant No. 3102015BJ (II) CG009).
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Published In
ASCE-ASME Journal of Risk and Uncertainty in Engineering Systems, Part A: Civil Engineering
Volume 4 • Issue 1 • March 2018
Copyright
©2017 American Society of Civil Engineers.
History
Received: Apr 25, 2017
Accepted: Jul 25, 2017
Published online: Nov 25, 2017
Published in print: Mar 1, 2018
Discussion open until: Apr 25, 2018
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